Moire superlattice effects in graphene/boron-nitride van der Waals heterostructures

Van der Waals heterostructures of graphene and hexagonal boron nitride feature a moir'e superlattice for graphene’s Dirac electrons. Here, we review the effects generated by this superlattice, including a specific miniband structure featuring gaps and secondary Dirac points, and a fractal spectrum of magnetic minibands known as Hofstadter’s butterfly.